Algebra 1 Final Review (Genesee-DeBruno)

Order of Operations and Evaluating Expressions

100

Simplify:

(5 + 16) ÷ 7 − 2

1

200

Simplify:

20 ÷ (4 − (10 − 8))    

10

300

Evaluate:

m − n ÷ 4;  m = 5, n = 8

-3/4

400

Simplify:

5 + 4(2+4) ÷ 2 - 3

14

500

Evaluate:

x(y ÷ 3)²; x = 4, y = 9

36

Solve for X

100

Solve:

4(x − 3) + 5 = 2x + 7

x = 7

200

-5/6x = 3/4

 x = -9/10 

300

Solve: 

2/4x+3/5 = 1/3x+8/5

x = 6

400

Solve: 

3(x + 1) - [2(3 - 2x) - 3(3 - x)]=2(x + 5) - 4

x = 0

500

Solve:

6 - 4(6x + 7) >= 122

 x <= -6 

Lines

100

Find the slope:

(1, 2)(3, 4)

m = 1

200

Find the equation of the line that goes through:

(3, 3)(4, 6)

y = 3x - 6

300

Find the equation of the line that goes through:

(-1, 4)(-4, -1)

 y = 5/3x + 17/3 

400

Find the equation of the line that is parallel to 

3x + 2y = 12 and goes through (3, -1)

 y = -3/2x + 7/2 

500

Find the equation of the line that is perpendicular to -2x + y = -3 and goes through 

(1/2, 4)

 y = -1/2x + 17/4 

Systems of Equations

100

Solve by Elimination:

−2x − 9y = −25

−4x − 9y = −23

(-1, 3)

200

Solve by Elimination:

−4x + 9y = 9

x − 3y = −6

(9, 5)

300

Solve by Substitution:

x+5y=4

2x-10y=20

 (7, -3/5) 

400

Solve by Substitution:

x+4y=8

2x-5y=29

(12, -1)

500

Find the x- and y-intercepts:

3x - 2y = 8  

 x-int: (8/3, 0) 

y-int: (0, -4)

8th Grade Material

100

Write in Standard Notation:

7.5 x 10⁵

750000

200

Write in Scientific Notation:

.000034

3.4 x 10^-5

300

Find the Distance:

(-3,4) and (1,-1)

 sqrt(41) 

400

Find the Midpoint:

(1, −9) and (6, −6)

 (7/2, -15/2) 

500

Use the Pythagorean Theorem:

a = 12, c = 16, find b

 b = sqrt(112) 

Random!

100

If someone "spills the tea," what are they doing in modern slang?

Gossiping

200

The only sport that has been played on the moon.

Golf!

300

What is the national animal of Scotland?

A unicorn

400

What is a group of Pandas called?

An embarrassment

500

Which recent movie caused a global shortage of pink paint?

Barbie